Cubic polynomial/Continuity/Explicit/1/Exercise

For the function

${}f(x)=2x^{3}-4x^{2}+x-6\,$

and the point ${}a=1$, determine for ${}\epsilon ={\frac {1}{10}}$ an explicit ${}\delta >0$ such that

${}d(x,a)\leq \delta \,$

implies the estimate

${}d(f(x),f(a))\leq \epsilon \,.$

Create a solution